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Finding the Third Proportional to 142,158.50 and 304,000

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Solution

The third proportional to 142,158.50 and 304,000 is: 650,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,158.50 : 304,000 = 304,000 : x
  2. Step 2: Convert to fraction form
    142,158.50/304,000 = 304,000/x
  3. Step 3: Cross multiply
    142,158.50x = 304,000 × 304,000
  4. Step 4: Simplify right side
    142,158.50x = 92,416,000,000
  5. Step 5: Solve for x
    x = 92,416,000,000/142,158.50
  6. Step 6: Final answer
    x = 650,091.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.